129282480 has 200 divisors, whose sum is σ = 456961824. Its totient is φ = 33868800.

The previous prime is 129282469. The next prime is 129282481. The reversal of 129282480 is 84282921.

129282480 is a `hidden beast` number, since 12 + 92 + 82 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129282481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 459940 + ... + 460220.

Almost surely, 2^129282480 is an apocalyptic number.

129282480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129282480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480912).

129282480 is an abundant number, since it is smaller than the sum of its proper divisors (327679344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129282480 is a wasteful number, since it uses less digits than its factorization.

129282480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129282480 is about 11370.2453799379. The cubic root of 129282480 is about 505.6459792013.

The spelling of 129282480 in words is "one hundred twenty-nine million, two hundred eighty-two thousand, four hundred eighty".